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Finding the Fourth Proportional to 5,635.23, 7,776.90 and 3,397.83

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Solution

The fourth proportional to 5,635.23, 7,776.90 and 3,397.83 is: 4,689.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,635.23 : 7,776.90 = 3,397.83 : x
  2. Step 2: Convert to fraction form
    5,635.23/7,776.90 = 3,397.83/x
  3. Step 3: Cross multiply
    5,635.23x = 7,776.90 × 3,397.83
  4. Step 4: Simplify right side
    5,635.23x = 26,424,554.96
  5. Step 5: Solve for x
    x = 26,424,554.96/5,635.23
  6. Step 6: Final answer
    x = 4,689.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.